Computability Theory and Its Applications: Current Trends and Open Problems : Proceedings of a 1999 Ams-Ims-Siam, Joint Summer Research Conference, Computability Theory and Applications, June - Couverture souple

American Mathematical Society

Couverture souple

ISBN 10 : 0821819224 ISBN 13 : 9780821819227

Editeur : American Mathematical Society, 2000

Synopsis

This collection of articles presents a snapshot of the status of computability theory at the end of the millennium and a list of fruitful directions for future research. The papers represent the works of experts in the field who were invited speakers at the AMS-IMS-SIAM Joint Summer Conference on Computability Theory and Applications held at the University of Colorado (Boulder). The conference focused on open problems in computability theory and on some related areas in which the ideas, methods, and/or results of computability theory play a role.Some presentations are narrowly focused; others cover a wider area. Topics included from 'pure' computability theory are the computably enumerable degrees (M. Lerman), the computably enumerable sets (P. Cholak, R. Soare), definability issues in the c.e. and Turing degrees (A. Nies, R. Shore) and other degree structures (M. Arslanov, S. Badaev and S. Goncharov, P. Odifreddi, A. Sorbi). The topics involving relations between computability and other areas of logic and mathematics are reverse mathematics and proof theory (D. Cenzer and C. Jockusch, C. Chong and Y. Yang, H. Friedman and S. Simpson), set theory (R. Dougherty and A. Kechris, M. Groszek, T. Slaman) and computable mathematics and model theory (K. Ambos-Spies and A. Kucera, R. Downey and J. Remmel, S. Goncharov and B. Khoussainov, J. Knight, M. Peretyat'kin, A. Shlapentokh).

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2000
• Langue: anglais
• ISBN 10: 0821819224
• ISBN 13: 9780821819227
• Reliure: Broché
• Nombre de pages: 320
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible